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gchilders

33343_239

Mar 11th, 2022
205
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  1. Fri Mar 11 01:18:34 2022
  2. Fri Mar 11 01:18:34 2022
  3. Fri Mar 11 01:18:34 2022 Msieve v. 1.54 (SVN unknown)
  4. Fri Mar 11 01:18:34 2022 random seeds: 28c88cf4 32f70f2b
  5. Fri Mar 11 01:18:34 2022 factoring 33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333343 (239 digits)
  6. Fri Mar 11 01:18:35 2022 no P-1/P+1/ECM available, skipping
  7. Fri Mar 11 01:18:35 2022 commencing number field sieve (239-digit input)
  8. Fri Mar 11 01:18:35 2022 R0: -10000000000000000000000000000000000000000
  9. Fri Mar 11 01:18:35 2022 R1: 1
  10. Fri Mar 11 01:18:35 2022 A0: 290
  11. Fri Mar 11 01:18:35 2022 A1: 0
  12. Fri Mar 11 01:18:35 2022 A2: 0
  13. Fri Mar 11 01:18:35 2022 A3: 0
  14. Fri Mar 11 01:18:35 2022 A4: 0
  15. Fri Mar 11 01:18:35 2022 A5: 0
  16. Fri Mar 11 01:18:35 2022 A6: 1
  17. Fri Mar 11 01:18:35 2022 skew 1.00, size 5.476e-12, alpha 1.117, combined = 3.867e-13 rroots = 0
  18. Fri Mar 11 01:18:35 2022
  19. Fri Mar 11 01:18:35 2022 commencing relation filtering
  20. Fri Mar 11 01:18:35 2022 setting target matrix density to 110.0
  21. Fri Mar 11 01:18:35 2022 estimated available RAM is 515600.8 MB
  22. Fri Mar 11 01:18:35 2022 commencing duplicate removal, pass 1
  23. Fri Mar 11 01:26:49 2022 skipped 21 relations with b > 2^32
  24. Fri Mar 11 01:26:49 2022 skipped 43 relations with composite factors
  25. Fri Mar 11 01:26:49 2022 found 4827588 hash collisions in 105146001 relations
  26. Fri Mar 11 01:26:58 2022 added 1217816 free relations
  27. Fri Mar 11 01:26:58 2022 commencing duplicate removal, pass 2
  28. Fri Mar 11 01:27:17 2022 found 0 duplicates and 106363817 unique relations
  29. Fri Mar 11 01:27:17 2022 memory use: 261.2 MB
  30. Fri Mar 11 01:27:17 2022 reading ideals above 720000
  31. Fri Mar 11 01:27:17 2022 commencing singleton removal, initial pass
  32. Fri Mar 11 01:35:47 2022 memory use: 2756.0 MB
  33. Fri Mar 11 01:35:47 2022 reading all ideals from disk
  34. Fri Mar 11 01:35:48 2022 memory use: 4158.0 MB
  35. Fri Mar 11 01:35:51 2022 keeping 92937096 ideals with weight <= 200, target excess is 588398
  36. Fri Mar 11 01:35:56 2022 commencing in-memory singleton removal
  37. Fri Mar 11 01:35:59 2022 begin with 106363817 relations and 92937096 unique ideals
  38. Fri Mar 11 01:36:30 2022 reduce to 74579013 relations and 58343082 ideals in 12 passes
  39. Fri Mar 11 01:36:30 2022 max relations containing the same ideal: 165
  40. Fri Mar 11 01:36:46 2022 removing 8347915 relations and 6347915 ideals in 2000000 cliques
  41. Fri Mar 11 01:36:48 2022 commencing in-memory singleton removal
  42. Fri Mar 11 01:36:50 2022 begin with 66231098 relations and 58343082 unique ideals
  43. Fri Mar 11 01:37:07 2022 reduce to 65488981 relations and 51228939 ideals in 8 passes
  44. Fri Mar 11 01:37:07 2022 max relations containing the same ideal: 153
  45. Fri Mar 11 01:37:21 2022 removing 6690953 relations and 4690953 ideals in 2000000 cliques
  46. Fri Mar 11 01:37:23 2022 commencing in-memory singleton removal
  47. Fri Mar 11 01:37:25 2022 begin with 58798028 relations and 51228939 unique ideals
  48. Fri Mar 11 01:37:38 2022 reduce to 58269216 relations and 45993555 ideals in 7 passes
  49. Fri Mar 11 01:37:38 2022 max relations containing the same ideal: 142
  50. Fri Mar 11 01:37:51 2022 removing 6227454 relations and 4227454 ideals in 2000000 cliques
  51. Fri Mar 11 01:37:53 2022 commencing in-memory singleton removal
  52. Fri Mar 11 01:37:54 2022 begin with 52041762 relations and 45993555 unique ideals
  53. Fri Mar 11 01:38:07 2022 reduce to 51557710 relations and 41267033 ideals in 8 passes
  54. Fri Mar 11 01:38:07 2022 max relations containing the same ideal: 130
  55. Fri Mar 11 01:38:19 2022 removing 6008086 relations and 4008086 ideals in 2000000 cliques
  56. Fri Mar 11 01:38:20 2022 commencing in-memory singleton removal
  57. Fri Mar 11 01:38:22 2022 begin with 45549624 relations and 41267033 unique ideals
  58. Fri Mar 11 01:38:31 2022 reduce to 45067460 relations and 36760157 ideals in 7 passes
  59. Fri Mar 11 01:38:31 2022 max relations containing the same ideal: 118
  60. Fri Mar 11 01:38:42 2022 removing 5881704 relations and 3881704 ideals in 2000000 cliques
  61. Fri Mar 11 01:38:44 2022 commencing in-memory singleton removal
  62. Fri Mar 11 01:38:45 2022 begin with 39185756 relations and 36760157 unique ideals
  63. Fri Mar 11 01:38:53 2022 reduce to 38678181 relations and 32351618 ideals in 7 passes
  64. Fri Mar 11 01:38:53 2022 max relations containing the same ideal: 110
  65. Fri Mar 11 01:39:02 2022 removing 5809131 relations and 3809131 ideals in 2000000 cliques
  66. Fri Mar 11 01:39:04 2022 commencing in-memory singleton removal
  67. Fri Mar 11 01:39:04 2022 begin with 32869050 relations and 32351618 unique ideals
  68. Fri Mar 11 01:39:11 2022 reduce to 32317740 relations and 27966818 ideals in 7 passes
  69. Fri Mar 11 01:39:11 2022 max relations containing the same ideal: 99
  70. Fri Mar 11 01:39:19 2022 removing 5768683 relations and 3768683 ideals in 2000000 cliques
  71. Fri Mar 11 01:39:21 2022 commencing in-memory singleton removal
  72. Fri Mar 11 01:39:21 2022 begin with 26549057 relations and 27966818 unique ideals
  73. Fri Mar 11 01:39:28 2022 reduce to 25917582 relations and 23533680 ideals in 8 passes
  74. Fri Mar 11 01:39:28 2022 max relations containing the same ideal: 83
  75. Fri Mar 11 01:39:34 2022 removing 5016202 relations and 3314842 ideals in 1701360 cliques
  76. Fri Mar 11 01:39:35 2022 commencing in-memory singleton removal
  77. Fri Mar 11 01:39:36 2022 begin with 20901380 relations and 23533680 unique ideals
  78. Fri Mar 11 01:39:41 2022 reduce to 20296349 relations and 19579667 ideals in 8 passes
  79. Fri Mar 11 01:39:41 2022 max relations containing the same ideal: 72
  80. Fri Mar 11 01:39:46 2022 removing 198978 relations and 164838 ideals in 34140 cliques
  81. Fri Mar 11 01:39:47 2022 commencing in-memory singleton removal
  82. Fri Mar 11 01:39:47 2022 begin with 20097371 relations and 19579667 unique ideals
  83. Fri Mar 11 01:39:50 2022 reduce to 20095895 relations and 19413348 ideals in 5 passes
  84. Fri Mar 11 01:39:50 2022 max relations containing the same ideal: 72
  85. Fri Mar 11 01:39:52 2022 relations with 0 large ideals: 21890
  86. Fri Mar 11 01:39:53 2022 relations with 1 large ideals: 9634
  87. Fri Mar 11 01:39:53 2022 relations with 2 large ideals: 106327
  88. Fri Mar 11 01:39:53 2022 relations with 3 large ideals: 661043
  89. Fri Mar 11 01:39:53 2022 relations with 4 large ideals: 2198308
  90. Fri Mar 11 01:39:53 2022 relations with 5 large ideals: 4337857
  91. Fri Mar 11 01:39:53 2022 relations with 6 large ideals: 5337059
  92. Fri Mar 11 01:39:53 2022 relations with 7+ large ideals: 7423777
  93. Fri Mar 11 01:39:53 2022 commencing 2-way merge
  94. Fri Mar 11 01:39:59 2022 reduce to 13607916 relation sets and 12925369 unique ideals
  95. Fri Mar 11 01:39:59 2022 commencing full merge
  96. Fri Mar 11 01:43:00 2022 memory use: 1752.4 MB
  97. Fri Mar 11 01:43:01 2022 found 6436254 cycles, need 6363569
  98. Fri Mar 11 01:43:02 2022 weight of 6363569 cycles is about 700076919 (110.01/cycle)
  99. Fri Mar 11 01:43:02 2022 distribution of cycle lengths:
  100. Fri Mar 11 01:43:02 2022 1 relations: 264743
  101. Fri Mar 11 01:43:02 2022 2 relations: 409349
  102. Fri Mar 11 01:43:02 2022 3 relations: 501171
  103. Fri Mar 11 01:43:02 2022 4 relations: 532893
  104. Fri Mar 11 01:43:02 2022 5 relations: 556407
  105. Fri Mar 11 01:43:02 2022 6 relations: 548199
  106. Fri Mar 11 01:43:02 2022 7 relations: 527165
  107. Fri Mar 11 01:43:02 2022 8 relations: 488380
  108. Fri Mar 11 01:43:02 2022 9 relations: 441008
  109. Fri Mar 11 01:43:02 2022 10+ relations: 2094254
  110. Fri Mar 11 01:43:02 2022 heaviest cycle: 27 relations
  111. Fri Mar 11 01:43:03 2022 commencing cycle optimization
  112. Fri Mar 11 01:43:11 2022 start with 50644159 relations
  113. Fri Mar 11 01:44:14 2022 pruned 2402008 relations
  114. Fri Mar 11 01:44:14 2022 memory use: 1358.1 MB
  115. Fri Mar 11 01:44:14 2022 distribution of cycle lengths:
  116. Fri Mar 11 01:44:14 2022 1 relations: 264743
  117. Fri Mar 11 01:44:14 2022 2 relations: 420325
  118. Fri Mar 11 01:44:14 2022 3 relations: 524919
  119. Fri Mar 11 01:44:14 2022 4 relations: 558777
  120. Fri Mar 11 01:44:14 2022 5 relations: 588059
  121. Fri Mar 11 01:44:14 2022 6 relations: 578990
  122. Fri Mar 11 01:44:14 2022 7 relations: 557032
  123. Fri Mar 11 01:44:14 2022 8 relations: 511669
  124. Fri Mar 11 01:44:14 2022 9 relations: 458031
  125. Fri Mar 11 01:44:14 2022 10+ relations: 1901024
  126. Fri Mar 11 01:44:14 2022 heaviest cycle: 26 relations
  127. Fri Mar 11 01:44:20 2022 RelProcTime: 1545
  128. Fri Mar 11 01:44:20 2022
  129. Fri Mar 11 01:44:20 2022 commencing linear algebra
  130. Fri Mar 11 01:44:20 2022 using VBITS=384
  131. Fri Mar 11 01:44:20 2022 read 6363569 cycles
  132. Fri Mar 11 01:44:27 2022 cycles contain 19764573 unique relations
  133. Fri Mar 11 01:45:33 2022 read 19764573 relations
  134. Fri Mar 11 01:45:54 2022 using 20 quadratic characters above 4294917295
  135. Fri Mar 11 01:46:49 2022 building initial matrix
  136. Fri Mar 11 01:49:28 2022 memory use: 2692.0 MB
  137. Fri Mar 11 01:49:30 2022 read 6363569 cycles
  138. Fri Mar 11 01:49:31 2022 matrix is 6363392 x 6363569 (2777.7 MB) with weight 802034065 (126.04/col)
  139. Fri Mar 11 01:49:31 2022 sparse part has weight 658149517 (103.42/col)
  140. Fri Mar 11 01:50:07 2022 filtering completed in 2 passes
  141. Fri Mar 11 01:50:08 2022 matrix is 6363051 x 6363216 (2777.6 MB) with weight 802018970 (126.04/col)
  142. Fri Mar 11 01:50:08 2022 sparse part has weight 658142500 (103.43/col)
  143. Fri Mar 11 01:50:17 2022 matrix starts at (0, 0)
  144. Fri Mar 11 01:50:17 2022 matrix is 6363051 x 6363216 (2777.6 MB) with weight 802018970 (126.04/col)
  145. Fri Mar 11 01:50:17 2022 sparse part has weight 658142500 (103.43/col)
  146. Fri Mar 11 01:50:17 2022 saving the first 368 matrix rows for later
  147. Fri Mar 11 01:50:18 2022 matrix includes 384 packed rows
  148. Fri Mar 11 01:50:21 2022 matrix is 6362683 x 6363216 (2555.5 MB) with weight 573586751 (90.14/col)
  149. Fri Mar 11 01:50:21 2022 sparse part has weight 542645237 (85.28/col)
  150. Fri Mar 11 01:50:21 2022 using GPU 0 (Tesla V100-PCIE-32GB)
  151. Fri Mar 11 01:50:21 2022 selected card has CUDA arch 7.0
  152. Fri Mar 11 01:50:41 2022 commencing Lanczos iteration
  153. Fri Mar 11 01:50:41 2022 memory use: 6518.9 MB
  154. Fri Mar 11 01:50:44 2022 linear algebra at 0.0%, ETA 1h32m
  155. Fri Mar 11 01:50:45 2022 checkpointing every 5070000 dimensions
  156. Fri Mar 11 03:17:21 2022 lanczos halted after 16604 iterations (dim = 6362681)
  157. Fri Mar 11 03:17:53 2022 recovered 35 nontrivial dependencies
  158. Fri Mar 11 03:17:54 2022 BLanczosTime: 5614
  159. Fri Mar 11 03:17:54 2022
  160. Fri Mar 11 03:17:54 2022 commencing square root phase
  161. Fri Mar 11 03:17:54 2022 handling dependencies 1 to 64
  162. Fri Mar 11 03:17:54 2022 reading relations for dependency 1
  163. Fri Mar 11 03:17:54 2022 read 3180611 cycles
  164. Fri Mar 11 03:17:58 2022 cycles contain 9878902 unique relations
  165. Fri Mar 11 03:18:35 2022 read 9878902 relations
  166. Fri Mar 11 03:19:04 2022 multiplying 9878902 relations
  167. Fri Mar 11 03:23:15 2022 multiply complete, coefficients have about 258.04 million bits
  168. Fri Mar 11 03:23:16 2022 initial square root is modulo 1820433487
  169. Fri Mar 11 03:27:56 2022 sqrtTime: 602
  170. Fri Mar 11 03:27:56 2022 p117 factor: 450788028181117444543764834660801966284640034517065320920602316278236140544051807109503752593612818448996891840182293
  171. Fri Mar 11 03:27:56 2022 p122 factor: 73944584260211717943566796423949871699060792164976229768609835834849831163961511712044267664173491543531496069947417714851
  172. Fri Mar 11 03:27:56 2022 elapsed time 02:09:22
  173.  
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